{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qKkqlpKTU3M/V1VUppdTGjRuVm5ubOnbsmCorK1OdOnVS06dPV0op9f7776sp\nU6bUPD4iIkJVVlaqvXv3qs6dO6vS0lK1cOHCmucoKytTgYGBKjc3V23cuFG5uLio3NxcpZRSX375\npZo4cWLN858/f/5Wfqy2rlYdbfQ1ePqhs7yYsp3gbq14+2E/mxmH/fDDDzz88MM1H8B4vfOfs7Oz\nCQ0NxWQysXTpUnbu3AnAwIEDiY6OZtGiRTWbuP379+fPf/4zb7/9NocOHeJ6F6BwdHRk+PDhAAQG\nBpKXl3fDnMHBwXTs2BEnJyfuuOMO7r33XgBMJtNVjx8zZgx2dnZ4eXnh6elJTk4Of//730lOTiYg\nIIC+fftSUFBQs2UREhKCh4dHzbI2bNjAyy+/zKZNm3Bzc6vlT1HcrEYt+OGCEmKT0+no5szCyCCb\nGocppW74n1l0dDQffvghWVlZvP7665SVVX+2/YIFC3jzzTc5cuQIAQEBFBQU8Oijj7JmzRqaNm1K\nREQEP/zwwzXLa9KkSc1z2tvbU1FRAVR/MkhVVVVNrsuXL9c8xsnJqeZrOzu7mu/t7OxqHg/Xnvqq\naRpKKT744AMyMzPJzMzk4MGDNf9BuLr+5wBqjx49SE9Px2Qy8eqrr/LGG2/c4KcnblWjFbywtJzx\niVupqFIkRAfT2sbGYUOGDOGLL76goKAAgLNnz15zn6KiIjp27Eh5eTlLly6tuf3AgQP07duXN954\ngzZt2nDkyBFyc3Px9PTkD3/4AyNGjGDHjh21ztKtWzfS09MBWL16NeXl5Tf9elJSUqiqquLAgQPk\n5ubi7e1NREQE8+fPr1ne3r17KS4uvuaxx44dw8XFhccff5yXXnqJjIyMm35+UTt1unRRbZVXVvHM\n0nQOny3hswl98WzbrDGe1lB8fHyYNm0a4eHh2Nvb07t3bxITE6+6z6xZs+jbty/u7u6YTCaKiooA\nmDp1Kvv27UMpxZAhQ/D392fOnDksWbKEJk2a0KFDB6ZPn17rLE8++SQjR44kJCSEIUOGXLV2rS1v\nb2/Cw8M5efIkCxYswNnZmYkTJ5KXl0efPn1QStG2bVv+9re/XfPYrKwspk6dip2dHU2aNGH+/Pk3\n/fyidhr8bDKlFK+szGKF+QhzH/Hn4UDbOGL+S3I2mWgAxjibbME/cllhPsJzd3e3yXILoacGLfg3\nWcd5e30OD/h34oWhPRryqYQQ19FgBd92+BzPr8gk0L0V79rQOEwII2mQgh85W8KTyWbat3AmPjIQ\n5ya2Mw4Twkjq/Sh6YWk5MYlpXK6o4vPYYG5r5nTjBwkhGkS9Fry8sorJyzI4eKaY5JgQurezvXGY\nEEZSbwVXSjF9dTab9p3hndEGFEB4AAACnUlEQVR+DOgu18QWQm/1tg++aFMuy7ce4Zm77mBMcNcb\nP0AI0eDqpeDrs08w+9schpk68tK9jXMxQiHEjdW54NuPnOePK7bh36Ul743xx85OxmFCGEWdCp5/\nvpSJyWbaNHNi0RNBMg4TwmDqVPAJiWmUXa4kITqYts0tcxwmHyEkrFmdCr7v1EU+frwPXu2b11ee\nOjt48CDh4eEAZGRkoGkaBQUFVFZW4uvrS0lJCY888ggvvPACgwcPZvbs2eTk5BAWFoaPjw/33HMP\nZ86cASApKYnAwED8/PwIDQ2tWf7IkSMJCgoiJCSEPXv26PZahbiRup5NZjiaprUCvldK9dE0LQG4\nE4gEegGDlVLPa5qWA3yhlJquaZoTkAE8rpTapmnay0ALYA7VF1cPUEpd1jStJVAMrAdilVIHNE27\nH3hEKTX+Ojligdgr3zorpXwb9pULca1GOR+8kRUCLpqm3QZ0BDYDragu2wuapjkDrYF/f4zIKCBV\nKbXtyve7gBFAJdAUeE/TtCSllFnTtEcAH2DllffWOwCbrhdCKRUPxDfA6xOi1qyu4EqpqivlexJY\nTPWa2w+wV0rt1TQtEPiXUurfnz/UC8j6xSJMwC6lVImmab7AA0C8pmmfAJ2AaUqpxY30coSoE92v\nbNJAqqheC38FXABeAhZc+TsT8MvPN8qnuuRomuZJ9eZ8sqZpXkqpYqXU58A6wBk4DkRommZ35f4m\nTU6TEwZmdWvwKy4D3yqlKjRNuwC4Ul1SqC741l/c9zPgfk3TsoBSIEYpVaBp2nuapvWner97J9Vb\nBBowGNitaVopkK2UerxxXpIQN8/qDrIJIf7DWjfRhRBIwYWwalJwIayYFFwIKyYFF8KKScGFsGJS\ncCGsmBRcCCv2/4Q27h4Rr5m6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9263dc7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "x = np.linspace(-1,1,50)\n",
    "y = 2*x + 1\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LyDoRubqpFxKR+0QkXUTSCwsLzy+xm5h1eSo1dfW8okfvSrm9F1dm4ie+c9QOjpV7U1Ol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\n0nJXSikvpOWulFJeSMtdKaW80P8HmrBM0wX+YUoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9263e8588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y = x**2\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/45aJcwBVrknqUTDspa1lldz11jzGfb2SrI7NeXSoKtck9SgY9sKC1cXk5OaxVJVrkuIU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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9264457f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YMMZBaNDlrU+vteZwST3v5ZTz5sFSis+2Mi4hgm9ck8b1kxLl3rwFOFt8Z67x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\nF8IPSfGF8ENSfCH80P8AdzeXMbi+qH0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd926da8c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-3, 3, 50)\n",
    "y1 = 2*x +1\n",
    "y2 = x**2\n",
    "plt.figure(num = 3, figsize=(4, 3))\n",
    "plt.plot(x, y1)\n",
    "plt.figure(figsize=(4, 4))\n",
    "plt.plot(x, y2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "notes"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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wmTGDyQ88z+vhbcjIzifQz4e2dasSH1WJZhEVaRZVkfCQy2/Kciwrl43Jx9mU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\nxUgwCCGKkWAQQhQjwSCEKEaCQQhRzP8HmyzsyxQ5DUsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9263766a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 4))\n",
    "plt.plot(x, y2)\n",
    "plt.plot(x, y1, color = 'Red', linewidth = 2, linestyle ='--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8jh2Dm26CJ56A7t2dTuNKGVm5DP1yBT+u2cczWpBcw5eitEhEWhlj1vo9jQtF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\n5SpalJRSrqJFSSnlKlqUlFKu8v8qlxjf9uZ7IAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd92630d3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 4))\n",
    "plt.plot(x, y2)\n",
    "plt.plot(x, y1, color = 'Red', linewidth = 2, linestyle ='--')\n",
    "plt.xlim((-1,2))\n",
    "plt.ylim((-1,4))\n",
    "plt.xlabel('class numbers')\n",
    "plt.ylabel('marks numbers')\n",
    "plt.xticks(np.linspace(-1,2,4))\n",
    "plt.yticks([-1,1,3,4],['$wrose$','bad','good','well'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IkSPUrl2bL7/8kmeeeYZ9+/YRExNDXl4e69evB2DcuHHMmjWLPXv23PGa8+bN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\njJEGl0jMmP8H4/2aq28wrbsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9264bbe10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 4))\n",
    "plt.xlim((-1,2))\n",
    "plt.ylim((-1,4))\n",
    "plt.xlabel('class numbers')\n",
    "plt.ylabel('marks numbers')\n",
    "plt.xticks(np.linspace(-1,2,4))\n",
    "plt.yticks([-1,1,3,4],['$wrose$','bad','good','well'])\n",
    "ax = plt.gca()\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.spines['left'].set_position(('data','0'))\n",
    "l1,= plt.plot(x, y2, label = 'up')\n",
    "l2,= plt.plot(x, y1, color = 'Red', linewidth = 2, linestyle ='--',label='down ')\n",
    "plt.legend(handles=[l1,l2,],loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YY8eOZfbs2Tz33HOMGzeOXPdwX+uFCxc4fPgwa9asYenSpaxevZrKlSvTsmVL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\n4mRqriIiIk6m5ioiIuJkaq4iIiJO9v/ALSZvzPnrWAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60cab46160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(num=0,figsize=(8,5))\n",
    "x = np.linspace(-3,3,50)\n",
    "y = 2*x + 1\n",
    "plt.xlim((-3,3))\n",
    "plt.ylim((-6,8))\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.xticks(np.linspace(-3,3,7))\n",
    "ax = plt.gca()\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "l,=plt.plot(x,y,color='red',label='text')\n",
    "plt.legend(handles=[l,],loc='best')\n",
    "x0 = 1\n",
    "y0 = 2*x0 + 1\n",
    "plt.scatter(x0,y0,color ='blue')\n",
    "plt.plot([x0,x0],[y0,0],'k--',lw=2.5)\n",
    "plt.annotate(r'$2x+1=%s$'%y0,xy=(x0,y0),xycoords='data',xytext=(+30,-30),textcoords='offset points',fontsize=16,arrowprops=dict(arrowstyle='->',connectionstyle='arc3,rad=.2'))\n",
    "plt.text(-3,3,r'$this\\ is\\ a\\ good\\ text.\\mu\\sigma_i\\alpha_t$',fontsize=16,color='purple')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2cH3VL+BKRdxIL3lNA+VT8Qr0OkvX6If0KAV3mmzrJn3Ox7vNJ4ofgAJHW3xp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\nFJBLlChRYoPw/wPBEGZbPMGTBQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60c216d208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "n = 284\n",
    "X = np.random.normal(0,1,n)\n",
    "Y = np.random.normal(0,1,n)\n",
    "T = np.arctan2(Y,X)\n",
    "plt.xlim((-1.5,1.5))\n",
    "plt.ylim((-1.5,1.5))\n",
    "plt.scatter(X,Y,s=125,alpha=0.5,c=T)\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PuFonpXgARHRrnZRS6zlSoCVy2/jhw/1+HzueE+ln8DnqPoPPidwz7HyOUQCKPZ7gMVaT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\nyEREivg/MVhy7L+05PYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f60c06dd080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 12\n",
    "x = np.arange(12)\n",
    "y1 = (1-x/float(n))*np.random.uniform(0.5,1.0,n)\n",
    "y2 = (1-x/float(n))*np.random.uniform(0.5,1.0,n)\n",
    "plt.bar(x,+y1,facecolor = 'red',edgecolor = 'white',alpha = 0.7)\n",
    "plt.bar(x,-y2,facecolor = 'blue',edgecolor = 'black')\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "for x1,y in zip(x,y1):\n",
    "    plt.text(x1-0.5,y+0.05,'%.2f'%y,color='blue')\n",
    "for x2,y in zip(x,y2):\n",
    "    plt.text(x2-0.5,-y-0.07,'-%.2f'%y,color='red')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/Zc0JDydEoeCx3FwmJyT8vhDYFQRBYJF3MFnNJn4qOntalVoh0tJBaO5IYSPb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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8efc345630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x,y):\n",
    "    return (1 - x / 2 + x**5 + y**3) * np.exp(-x**2 -y**2)\n",
    "n = 256\n",
    "x = np.linspace(-3, 3, n)\n",
    "y = np.linspace(-3, 3, n)\n",
    "X,Y = np.meshgrid(x, y)\n",
    "plt.contourf(X,Y,f(X,Y),8,alpha = 0.75,cmap = plt.cm.hot)\n",
    "c = plt.contour(X,Y,f(X,Y),8,colors='black',linewidths=1.5)\n",
    "plt.clabel(c,inline=False,fontsize = 10)\n",
    "\n",
    "plt.xticks(())\n",
    "plt.yticks(())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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u+Xjgy8A88G/AGWMYm7Vq+lvgQDcuNwG/v4G1XAccBv6Hpb9B3w68E3hntz/Ap7ta7wZm\nxjA+a9V02cD43AK8ZgNr+WOWTkHuAvZ3n/MnOUbrrOmox8jH0yU1mabTFknHEMNDUhPDQ1ITw0NS\nE8NDUhPDQ1ITw0NSk/8FUmQWDToJ32MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8efc0f9940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = np.random.uniform(0,1,9).reshape(3,3)\n",
    "plt.imshow(a)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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u+Xjgy8A88G/AGWMYm7Vq+lvgQDcuNwG/v4G1XAccBv6Hpb9B3w68E3hntz/Ap7ta7wZm\nxjA+a9V02cD43AK8ZgNr+WOWTkHuAvZ3n/MnOUbrrOmox8jH0yU1mabTFknHEMNDUhPDQ1ITw0NS\nE8NDUhPDQ1ITw0NSk/8FUmQWDToJ32MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8efc2514a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(a,interpolation='nearest')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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js15N/wDs68blFuAPx1jLtcAh4D9Z+S/oxcAHgA90+wNc3tV6LzA/gfFZr6ZLBsbnduBN\nY6zlz1g5BbkH2Nt9zp3mGG2wpqMeIx9Pl9Rklk5bJB1DDA9JTQwPSU0MD0lNDA9JTQwPSU0MD0lN\n/htn6RdTb0ctGAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8efc052b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(a,interpolation='nearest',cmap = 'bone')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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79z4KXNYtvwD4MnAA+A/gvBHMzWo9/SOwr5uXO4E/GmIvtwGHgV+z8Cfou4Crgau77QE+\n0/X6IDAzgvlZradrFs3P3cDrhtjLX7BwCvIAC/8Mxd7u+ze2OVpjTyc9Rz6eLqnJJJ22SDqFGB6S\nmhgekpoYHpKaGB6SmhgekpoYHpKa/C9vXvsp/SpuJAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8ef05d6400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(a,interpolation='nearest',cmap = 'bone',origin='lowwer')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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LLUmaAnYDlwPrgW0DgtjnbP+C7V8Crgc+NqpuCXIRUVtDLbmNwFHbx2w/D+wFtvSV872e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\nFxGdliAXEZ2WIBcRnZYgFxGd9v8B9rVYvzNYRXoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8ef047c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(a,interpolation='nearest',cmap = 'bone')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Og54v0vxJyZCBaD9+0wAkWC4yFgVXIto/S0ciHCV8cjyNqJSh6iCrTuv2BRANIQoFAIQE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\nS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2Au9DF9ScNUZIBSxSbT4hlNFgSLxSFoT96pnVV6dS5F7bDqmoftRPf9VWWJM9rcJqwb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\ngzpX5konts6TOS6vFKnYONL0ijTBqRqykR0Cbes0mbAgv0BnjMXNUjep0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B4AACAASURB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\nYAghigKBQCAQDPH/AQmbhMRxrschAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8ef0427588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(-4,4,0.25)\n",
    "Y = np.arange(-4,4,0.25)\n",
    "X, Y = np.meshgrid(X, Y)\n",
    "R = np.sqrt(X**2 + Y**2)\n",
    "Z = np.sin(R)\n",
    "ax.plot_surface(X,Y,Z,cmap = 'rainbow')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Navy1sHrLToYF6dzbzlU6V0RSQ0yN38wGmFmBmRWa2dBK1t9oZuvNbHZwuyVq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8eed5786a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.subplot(121)\n",
    "plt.plot([0,1],[0,2])\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot([0,2],[0,2])\n",
    "\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HxnNPBAQ7aLhHnAOFZUyctZS80Ix9gAa7K5RUhIJ9ZwHPTuyvwe4SwaDw0Efr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\nhTTclVLKhTTclVLKhf4P7VxLcCztB0cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8eed383c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot([0,1],[0,1])\n",
    "plt.subplot(2,3,4)\n",
    "plt.plot([0,2],[0,2])\n",
    "plt.subplot(2,3,5)\n",
    "plt.plot([0,1],[0,3])\n",
    "plt.subplot(2,3,6)\n",
    "plt.plot([0,1],[0,4])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YBfxjREy4LSNiFNgHLG1ulKcuRz8B3pqdkr5L0somh1iEzwB/Bhyb4P2WbMtOSVD1Mnmn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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f489a840278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "ax1 = plt.subplot2grid((3,3),(0,0),colspan = 3,rowspan=1)\n",
    "ax1.plot([1,4],[1,4])\n",
    "ax1.set_title('ax1')\n",
    "ax2 = plt.subplot2grid((3, 3), (1, 0), colspan=2)\n",
    "ax3 = plt.subplot2grid((3, 3), (1, 2), rowspan=2)\n",
    "ax4 = plt.subplot2grid((3, 3), (2, 0))\n",
    "ax5 = plt.subplot2grid((3, 3), (2, 1))\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OK+blZamM7NaaYV2ds7g8WQs/Hx6+KJFNGbl8tfmQ1XGUcmp2F4Mxpgy4l8oP9B3AXGPM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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd926d58c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import animation\n",
    "fig, ax = plt.subplots()\n",
    "x = np.arange(0, 2*np.pi, 0.01)\n",
    "line, = ax.plot(x, np.sin(x))\n",
    "def animate(i):\n",
    "    line.set_ydata(np.sin(x + i/10.0))\n",
    "    return line,\n",
    "def init():\n",
    "    line.set_ydata(np.sin(x))\n",
    "    return line,\n",
    "ani = animation.FuncAnimation(fig=fig,\n",
    "                              func=animate,\n",
    "                              frames=100,\n",
    "                              init_func=init,\n",
    "                              interval=20,\n",
    "                              blit=False)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
